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Finding the Fourth Proportional to 7,441.02, 11,143.28 and 3,536

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Solution

The fourth proportional to 7,441.02, 11,143.28 and 3,536 is: 5,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.02 : 11,143.28 = 3,536 : x
  2. Step 2: Convert to fraction form
    7,441.02/11,143.28 = 3,536/x
  3. Step 3: Cross multiply
    7,441.02x = 11,143.28 × 3,536
  4. Step 4: Simplify right side
    7,441.02x = 39,402,638.08
  5. Step 5: Solve for x
    x = 39,402,638.08/7,441.02
  6. Step 6: Final answer
    x = 5,295.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.